Radius-template-grinding machine



tion.

Patented Nov. 4, 1930 i Tron or SWEDEN HummerV VALDEMAR''rtmmisoiirnk or GoT'rENEoRG, sWEnEN, AssIGNon To AKT1E BOLAGET svEiisKii KULLAGEREABRIKENQOE GoT'rENEoRG, sWEDEN,V A someone` PATENTA oFFicE.

RADIUS- TEMPLTE-GRINDING MACHINE Application iedlliecember 8, 1928. Serial No. 324,757. v

The object `of this vinventifm is to `provide y a machine `for grinding templates of. larger radius than can conveniently be produced on produce this result by means of av template rather than by mounting the grinding Wheel upon a carriage turning about a iXed `me chanical pivot. It has been found difficult to generate such a template by a Wheel mount ed upon a carriage movable about a mechanin cal pivot because of the 'vibration of the'long carriagerand associated parts.

an arcapproximating the lare of a-circle by mechanism Which moves a segment of the ra-` dius vector of the curve in a manner such that the extremity orgenerating point de* scribes a prolate cycloid.V

The `rate of change of the radius .ofcurvature Withina certainV rangeon'eitherside of the middle point of the arc of a prolate cycloid is so small in magnitude as to justify the `practical iapproxmation of 'considering it to ybefzero.v `The cycloidal curve Will then A approximate a "circulary arc in this range, Withintheliinits of the above approximafiom the true circle ris greater at points resary to make use of more than a relatively small part of this rangeat the iiat portion of the arc.

It may demonstrated `mathematically ,i that this portion of a prolate cycloid so nearlv approximates the curvature of a circle that it is impossible With the degree of'precision available in practical measuring instrnin ents,.

' in a curve having a radius of from Ito i0 meters to detect the variation of the cycloidal The deviation of the cycloidal curve arc'from the are of a circle if a suitable combination of the radii determining the cycloidv is used.

The invention can best be described connection with adiagram and views illustrating a machine which hasbeen usediinV carrying out'the invention.

y In the drawings Fig. lvis a diagram orv chart. y y

Fig.'2 is an enlarged detail of certain ponV tions of the machine surrounded by a chart,

the'hsettingshovvnbein for generating a cony cave template.

Fig; 3 is an elevation of the complete ina-A chine. v l

Fig. i is a top View of the machine shown y in Fig. 3, and

Fig. 5 isa circumference of the circle 1.A which is @to inscribe the curve5 and which. forfconven- A ience, Will Vrepresent the grinding Wheel. of

the machine presently to be described. "lh'el` radius of 'therlcircle gthrough whichv this point VWould passif the circle l Were rotated upon a fixed axis, is represented.V at r. The centre of the circles l and 3 isindicatedatt. The circle l, in making a complete rotation from the left-hand position, causes the point A to inscribe the prolate curve 5 Which,.

throughout a considerable arc of its shallow portion, very closely approximates the'circle y represented at 6. At the part indicated permissible range the cycloid curve and the circle curve are practically congruent. For

most practical purposes the template being formed Will be much shorter than this per-f detail of the partarranged for i eneratinuf a conve m According to the present invention7 the g a Xte plate grinding Wheel is caused to pass through Reference will iirst be made to Fig. l in YWhich 1 will be assumed to be the generat!A ing circle having the radius R rolling upon the base line 2. A is the point set Within the j to get the desired solution of the problem` with a high degree 'of accuracy.

" The centre of the circle Gis representedat 7 havinga' radius fp. V According to lmovvnlmf` late cycloid. s

Two parallel `screws lying approximately:

formula p is calculated from the formula In Fig. v2 the template which is to be produced vis indicated by 8, and the grinding Wheel whichA corresponds to the point A of' the diagiain in Fig. 1 is indicated by the reference character 9. The curve which is to be produced onv the template is represented by the reference character 5 correspondingwith the cycloidal cuve in Fig. 1 which, as before explained, is at the flat portion of the arc practically congruent with the arc of a ltrue circle. No diilicultywould be vexperienced in grinding a template, such as that above considered, if it were possible to mount a grinding wheel as 9 upon a carrier such as 10, and move that carrier through a path which would cause the working point ofthe grinding wheel to traverse the curve of a true circle and to cause the centre 'lineof' the carriage 10 to, at all'times,-'occupy a position which would be a segment ofthe radius ing wheel.

advantagev over producing-the curve as a prointherplane ofmovements of the template and generating parts are shown. 1 These screws are indicated by the reference Ycharac- .ters 11 and 12 and have preferably somewhatV different pitches, indicated by S1 and S2 respectively. These screws are represented as mounted in the frame-work 13 of the mach-ine which will later be described in more detail.

The frame 13 is provided with a guideway, 14 in which is mounted a slide 15 inthe forml which the carrier 10 for the grinding wheel 9 is longitudinally adjustable, it being held inits position of adjustmentby means of a set screw 19.

vUpon the edge'of the oscillatory member '16 is a toothed sector 2O which is in mesh with the screw 12. These screws are adapted to be rotated in the same direction by means fof' gear wheels 21 and 22 which are connected by'means of an idler 23. The gear wheel 21 has a number of teethV represented by Zi and the gear wheel 22 a number of teeth represented by Z2.

The constants of the machine are the radius a of the sector 16 and the above mentioned pitches S1 and S2. interchangeable gear wheels with the above mentioned number of teeth Z1 and Z2 are provided. With different gears different generating circles 1 can be obtained. Experience has shown that a single machine may conveniently be equipped with siX sets of gear wheels for producing templates having a range of radius from 1 to 10 meters.

i From the foregoing it will be obvious that by the simple mechanism described a grinding wheel can be caused to follow the path of a point on the circumference of al rolling circle, which describes the shallow portion of a prolate cycloid and which is practically congruent with the are of a circle.

Figs. 3 and 4 show, on a smaller sca-le, the machine carrying the mechanical parts illustrated in Fig. 2. The point 24 represents the centre of the generating circle represented at 1 in Figs. 1 and 2. The template 8 is mounted on the top surface of an upstanding portion 25, and its back is positioned by a suitable face 26. The ends of the template are shown held in position by clamps 27and setscrews 28. Thel shaft 29 of the grinding wheel carries a pulley 30 driven by means of a b'eltl from the pulley 32 of a suitable electric motor 33 which is mounted on the radius bar 10. The post 35 at the end of this radius bar is employed in adjusting the niachine so that the centre of the generated curve is located on any required perpendicular to the back of the template which is represented by the positioning surfaces 26. The template is fixed in such a position that the required perpendicular passes through the centres of the points 8 and 4, the line through these being perpendicular to the straight back of the template.

:A screw adjusting device 36 is provided for adjustingthe position of the rtemplate holder'25, and a screw' device 37 is provided for adjusting the position of the grinding wheel relative to the centre of the generating circle, i. e. for adjusting the dimension 7.

- Both screws are used for obtaining a final accurate adjustment after first adjusting roughly by hand. f

In Fig. 5 the template holder 25 is shown provided with an attachment 84 which shows the positions taken when Grinding convex surfaces on templates. lVhen convex surfaces are ground a diametrically opposite point on the grinding wheel is used with that employed in grinding concave surfaces.

Although the two feed screws designated 11 and 12 should be taken as being of different pitch, Sl and vS2, they can, if desired, be of the saine pitch` Even if, with modern accurate machine tools, it is attempted to manufacture a pair of screws with exactly the same pitch, it is probable that there will be a slight difference in pitch between them which will be sufficient to be of importance in this special grinding machine.

As abo-ve stated, both the screws 11 and 12 are rotated at certain speeds by their gear wheels 21 and 22, having a suitable number of teeth Zl and Z2. By means of the screw 11 the lower sliding part of the grinding wheel carriage, i. e. the nut 15, is given a movement corresponding to the movement of the generating circle 1 designated by the rectilinear dimension X in Fig. 1. The screw 12 gives the upper rotatable part 16 of the grinding wheel carriage a rotating movement corresponding to the arc X in the same Y Fig. 1. The feed of the screw 12 must be greater than that of the screw 11 in order to give the radius bar its turning movement notwithstanding the rectilinear movement imparted by the screw 11.

The radius a, like the two screw pitches mentioned above, is a machine constant and is chosen by the designer. This constant is measured to obtain its exact vvalue upon the completion of the machine.

By referring to Fig. 2 the following is the method of adjusting the machine for a` cerf. tain desired grinding radius:

It is to be understood that the screws'll and 12 are interconnected by means of gearV wheels 21 and 22 having the gear ratio Zl and Z2. The third or intermediate wheel is an idler, and the number of teeth with which it is provided is immaterial. Let the gear ratio Z2;Z1Vbe f. Thisv gear ratio may have an iniinite number of values. In order to avoid providing the machine with more than a few gear Wheels, the available (LS1 Buesa-5.3i in which a, S1 and S2 are constants and e the gear ratio Z2:Z1.

After obtaining the value of R, either by calculation or from tables, itreinains to calculate the value of i", i. e. the distance from the centre of the rolling circle to the grinding surface of the grinding wheel.

The formula used in calculating t-he dimension r is 'T= 1/2lp2R- w/pp-A-RN In this formula p is the radius of the required template and R thevabove mentioned radius of the equivalent generating circle.

It is to bel understood that the form of machine shown in the drawings is illustrative, and that changes may be made within the scope ofthe claims without departing fromr the spirit of my invention. It is 'to be further understood that., although the invention is here described in connection with the grindingof curves of large radii on templates, it

grinding ,a straight line and'for causing a point there! on to generate a cycloidal curve, compris ing a carriage, means for causing the traverse of the carriage, an oscillatorymemberpivotally mounted on the carriage for `movement in a plane including the line of carriage tra-` verse,nieans for so oscillating such member including means for timing the oscillationV in relation to the traverse of the carriage,`

and a. worliiiigtool mounted on the oscillatory member and adjustable radially thereof, the organization being such thatthe working tool is caused to generate a selected portion of a cycloid. v V

2'. lIn mechanism for simulating the movement of the radius of a circle rolling along a straighty line and for causing a point thereon to generate a cycloidal curve, comprising a carriage,'means for causing the traverse of the carri age, an oscillatory member pivoted on the carriage for movement in a plane incliiding the line of carriage traverse, interchangeable gears for driving the carriage traversing mechanism and the member oscillatiiig means in timed relation, a working tool mounted upon the oscillatory member and adjustable radially thereof, the organization vbeing such thatthe working tool is caused to generate al selected portion of a cycloid.

3. In a grinding machine, the combination with means for simulating the movement of the radius of a circle rolling along a straight line for causing a point thereon to generate a cycloidal curve, comprising a carriage, a feed screw for causing the traverse of the carriage, an oscillatory member pivotally mounted on the carriage for movement on a plane including the line of carriage traverse, there being screw teeth formed on the oscillatory member, a feed screw meshing therewith, means for driving the feed screws in timed relation, a grinding wheel spindle mounted on the oscillatory member and adjustable radially thereof, the grinding wheel being thereby caused to generate a selected portion of a cycloid. v

4. In a grinding machine, the combination with means for simulating the movement of the radius of a circle rolling along a straight line for causing a point thereon to generate a cycloidal curve, comprising a carriage, a feed screw for causing the traverse 0f the carriage, an oscillatory member pivotally mounted on the carriage for movement on a plane including the line of carriage traverse, there being screw teeth formed on the oscillatory member, a feediscrevv meshing therewith, interchangeable gears for driving the feed screws in timed relation, a grinding Wheel Vspindle mounted on the oscillatory member and adjustable radially thereof, the

grinding Wheel being thereby caused to generate a selected portion of a cycloid.

5. In a machine tool, the combination With a carriage, of an oscillatory member mounted on the carriage for movement in a pla-ne including the line of carriage traverse, a Work performing tool mounted on the oscillatory member and adjustable radially thereof7 and means for moving the carriage and the oscillatory member for imparting to the oscillatory member the movement of a segment of the radius vector of a prolate cycloid in the fiat portionof the arc to thereby cause the Work performing member to traverse a path approximating a circular are.

Signed at Gottenborg, Sweden, this 7th day of November, 1928.

HILDING VALDEMAR TRNEBOHM. 

